Exponential Growth & Decay

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What is Exponential Growth?

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Exponential growth occurs when the increase in a quantity is proportional to its current value, leading to growth that accelerates over time. Example: If a population of bacteria doubles every hour, it exhibits exponential growth.

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CCSS.HSF-LE.A.1A

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What is Exponential Decay?

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Exponential decay is the decrease of a quantity at a rate proportional to its current value, resulting in a rapid decline. Example: A radioactive substance decaying over time is an example of exponential decay.

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CCSS.HSF-IF.C.8B

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What is the general form of an exponential function?

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CCSS.HSF.LE.A.2

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What does the base 'b' represent in an exponential function?

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The base 'b' in an exponential function indicates the growth or decay factor. If b > 1, the function represents growth; if 0 < b < 1, it represents decay.

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CCSS.HSF-IF.C.8B

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What is the y-intercept of an exponential function?

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CCSS.HSF-IF.C.7E

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How do you find the range of an exponential function?

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What is the domain of an exponential function?

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How do you calculate the future value in exponential growth?

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CCSS.HSF-IF.C.8B

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What is the formula for exponential decay?

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CCSS.HSF-LE.A.1A

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What is a real-world example of exponential growth?

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A real-world example of exponential growth is the spread of a virus, where the number of infected individuals can double in a fixed period.